Octahedral Edge Length of Triakis Octahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Octahedral Edge Length of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron)
le(Octahedron) = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*RA/V)
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Octahedral Edge Length of Triakis Octahedron - (Measured in Meter) - Octahedral Edge Length of Triakis Octahedron is the length of the line connecting any two adjacent vertices of the octahedron of Triakis Octahedron.
Surface to Volume Ratio of Triakis Octahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Triakis Octahedron is the numerical ratio of the total surface area of the Triakis Octahedron to the volume of the Triakis Octahedron.
STEP 1: Convert Input(s) to Base Unit
Surface to Volume Ratio of Triakis Octahedron: 0.6 1 per Meter --> 0.6 1 per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le(Octahedron) = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*RA/V) --> (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*0.6)
Evaluating ... ...
le(Octahedron) = 10.4201076655997
STEP 3: Convert Result to Output's Unit
10.4201076655997 Meter --> No Conversion Required
FINAL ANSWER
10.4201076655997 10.42011 Meter <-- Octahedral Edge Length of Triakis Octahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Verified by Anamika Mittal
Vellore Institute of Technology (VIT), Bhopal
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6 Octahedral Edge Length of Triakis Octahedron Calculators

Octahedral Edge Length of Triakis Octahedron given Surface to Volume Ratio
Go Octahedral Edge Length of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron)
Octahedral Edge Length of Triakis Octahedron given Total Surface Area
Go Octahedral Edge Length of Triakis Octahedron = sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2)))))
Octahedral Edge Length of Triakis Octahedron given Insphere Radius
Go Octahedral Edge Length of Triakis Octahedron = (Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34))
Octahedral Edge Length of Triakis Octahedron given Pyramidal Edge Length
Go Octahedral Edge Length of Triakis Octahedron = Pyramidal Edge Length of Triakis Octahedron/(2-sqrt(2))
Octahedral Edge Length of Triakis Octahedron given Volume
Go Octahedral Edge Length of Triakis Octahedron = ((Volume of Triakis Octahedron)/(2-sqrt(2)))^(1/3)
Octahedral Edge Length of Triakis Octahedron given Midsphere Radius
Go Octahedral Edge Length of Triakis Octahedron = 2*Midsphere Radius of Triakis Octahedron

Octahedral Edge Length of Triakis Octahedron given Surface to Volume Ratio Formula

Octahedral Edge Length of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron)
le(Octahedron) = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*RA/V)

What is Triakis Octahedron?

In geometry, a Triakis Octahedron (or trigonal trisoctahedron or kisoctahedron) is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated cube. It is a regular octahedron with matching regular triangular pyramids attached to its faces. It has eight vertices with three edges and six vertices with eight edges. Triakis Octahedron has 24 faces, 36 edges and 14 vertices.

How to Calculate Octahedral Edge Length of Triakis Octahedron given Surface to Volume Ratio?

Octahedral Edge Length of Triakis Octahedron given Surface to Volume Ratio calculator uses Octahedral Edge Length of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron) to calculate the Octahedral Edge Length of Triakis Octahedron, Octahedral Edge Length of Triakis Octahedron given Surface to Volume Ratio formula is defined as the length of the line connecting any two adjacent vertices of the octahedron of Triakis Octahedron, calculated using the surface to volume ratio of Triakis Octahedron. Octahedral Edge Length of Triakis Octahedron is denoted by le(Octahedron) symbol.

How to calculate Octahedral Edge Length of Triakis Octahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Octahedral Edge Length of Triakis Octahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Triakis Octahedron (RA/V) and hit the calculate button. Here is how the Octahedral Edge Length of Triakis Octahedron given Surface to Volume Ratio calculation can be explained with given input values -> 10.42011 = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*0.6).

FAQ

What is Octahedral Edge Length of Triakis Octahedron given Surface to Volume Ratio?
Octahedral Edge Length of Triakis Octahedron given Surface to Volume Ratio formula is defined as the length of the line connecting any two adjacent vertices of the octahedron of Triakis Octahedron, calculated using the surface to volume ratio of Triakis Octahedron and is represented as le(Octahedron) = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*RA/V) or Octahedral Edge Length of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron). Surface to Volume Ratio of Triakis Octahedron is the numerical ratio of the total surface area of the Triakis Octahedron to the volume of the Triakis Octahedron.
How to calculate Octahedral Edge Length of Triakis Octahedron given Surface to Volume Ratio?
Octahedral Edge Length of Triakis Octahedron given Surface to Volume Ratio formula is defined as the length of the line connecting any two adjacent vertices of the octahedron of Triakis Octahedron, calculated using the surface to volume ratio of Triakis Octahedron is calculated using Octahedral Edge Length of Triakis Octahedron = (6*sqrt(23-(16*sqrt(2))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron). To calculate Octahedral Edge Length of Triakis Octahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Triakis Octahedron (RA/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Triakis Octahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Octahedral Edge Length of Triakis Octahedron?
In this formula, Octahedral Edge Length of Triakis Octahedron uses Surface to Volume Ratio of Triakis Octahedron. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Octahedral Edge Length of Triakis Octahedron = Pyramidal Edge Length of Triakis Octahedron/(2-sqrt(2))
  • Octahedral Edge Length of Triakis Octahedron = sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2)))))
  • Octahedral Edge Length of Triakis Octahedron = ((Volume of Triakis Octahedron)/(2-sqrt(2)))^(1/3)
  • Octahedral Edge Length of Triakis Octahedron = 2*Midsphere Radius of Triakis Octahedron
  • Octahedral Edge Length of Triakis Octahedron = (Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34))
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